Rationalize the Denominator $$\frac { 5 - \sqrt { 2 } } { 5 + \sqrt { 2 } }$$

question 213

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $$\frac { 5 - \sqrt { 2 } } { 5 + \sqrt { 2 } }$$

• A) \(\frac { 23 - 10 \sqrt { 2 } } { 27 }\)
• B) \(- 1\)
• C) \(\frac { 27 - 10 \sqrt { 2 } } { 23 }\)
• D) \(\frac { 27 + 10 \sqrt { 2 } } { 23 }\)

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Definitions:

Leader

A person who influences and guides others within a group or organization towards achieving goals and objectives.

Nominal Group Technique

A structured method for group brainstorming that encourages contributions from everyone.

Compromise

Compromise is a conflict resolution strategy involving mutual concessions where all parties involved adjust their demands to reach an agreeable solution.

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A group creativity technique designed to generate a large number of ideas for the solution of a problem, allowing for rapid and free-flowing contributions.